Polygons and Cuboids
- Author:
- Elliot Malkin
Problem 1
Three hexagons fit perfectly around a point.
We might describe this setup with the triplet of numbers .
What other such triplets of regular polygons fit perfectly around a point?
How many such triplets are there?
Problem 2
A cuboid has a volume equal to its surface area.
What could its dimensions be?
How many such cuboids are there?
Problem 3
How are the above two problems related?
Bonus problem
Find three unit fractions that sum to a half...